Abstract and Applied Analysis
Volume 2007 (2007), Article ID 80630, 12 pages
doi:10.1155/2007/80630
Research Article

Homomorphisms and Derivations in C*-Algebras

Choonkil Park1 and Abbas Najati2

1Department of Mathematics, Hanyang University, Seoul 133–791, South Korea
2Department of Science, University of Mohaghegh Ardebili, Ardebil 51664, Iran

Received 12 February 2007; Revised 7 March 2007; Accepted 12 March 2007

Academic Editor: Bruce D. Calvert

Copyright © 2007 Choonkil Park and Abbas Najati. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f(z−x)+f(z−y)+(1/2)f(x+y)=2f(z−(x+y)/4).